> I believe that to perceive a doubling of volume requires an increase of one Bell.
No. The Bel is just a 10X increase of Power. Mainly a convenient math function.
By pure coincidence, the smallest audible change in a pure steady tone is about 0.1 Bel (1dB). Set up a signal generator with a moderate pitch and moderate volume. Ask your friend to turn the level up or down slowly. Stop when you are sure you hear a change. The result will be all over the place, but for most people it averages about 1dB, mid-band and mid-level.
0.602 Bels (6.02 deciBels) is 4 times the power, which happens when pressure (voltage or sound) doubles. (Twice the voltage causes twice the current, 2V*2I= 4 times the power.)
We don't have numbers in our ears, and "twice" is not a clear concept, but many people will accept ~6dB as "twice/half as loud", for soft and medium tones.
BUT. At high levels, a little muscle in your ear tenses-up, reduces the transfer from air to inner-ear, to protect your hair-cells. Music is often played near this level. Rock drummers always play in this range. It is easy to get into the ear-tensing volume range, small amps will do it. So when you ask "how much MORE power do I need", you are almost always working against the ear-tensing muscle, and 6.02dB is not "twice as loud". Air pressure goes up 6dB, your ear muscle tenses-up and adds 1dB to 4dB loss, your ear-hair-cells feel a 5dB to 2dB change.
The big-amp companies love the "10dB for twice as loud" approximation, because it sells bigger amps. At sane hi-fi volumes, 7dB to 8dB is probably a better number. At live-rock volumes, 8dB to 10dB is probably a good guide.
7 Watts to 30 Watts is 6.3dB. Assuming they are the same-sounding watts (distortion flavor has a LOT to do with how loud a Watt is), then from down the street where it is only medium loudness, it will be almost twice as loud. Up close to a 7 Watt instrument amp with hot speaker, levels are near 100dB SPL and your ear-muscle is working hard. Going to 30 Watts may be about 1.5 times as loud.
And a 7 Watt single-ended amp can be pushed to 14+ Watt peaks with 50+% sweet distortion. A 30 Watt is usually push-pull, so in overdrive the distortion rises fast and not sweetly. The difference in timbre is more impressive than the difference in level.